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Re: If n and k are positive integers, is n/k an even integer? [#permalink]
02 Sep 2010, 13:04

If n and k are positive integers, is n/k an even integer?(1) n is divisible by 8.(2) k is divisible by 4.

Explanation1) n is divisible by 8 --> 8/8 = 1 (odd) 8/3 ,8/5 gives nothing not even an integer2) k is divisible by 4 --> 25/4 = gives nothing not even an integer

combining both

16/12 --> gives nothing not even an integer

answer E...... _________________

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Re: If n and k are positive integers, is n/k an even integer? [#permalink]
03 Mar 2015, 09:23

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Re: If n and k are positive integers, is n/k an even integer? [#permalink]
03 Mar 2015, 22:19

Expert's post

Hi All,

While it might be easy to run through this question without taking any notes (and still get it correct), there's something to be said for practicing to PROVE that your answer is correct. This level of attention to detail will help you to hone your skills on ALL DS questions.

We're told that N and K are positive integers. We're asked if N/K is an EVEN INTEGER. This is a YES/NO question.

Fact 1: N is divisible by 8

IF....N = 8K = 1Then 8/1 = 8 and the answer to the question is YES

IF....N = 8K = 8Then 8/8 = 1 and the answer to the question is NOFact 1 is INSUFFICIENT

Fact 2: K is divisible by 4

IF....N = 8K = 4Then 8/4 = 2 and the answer to the question is YES

IF...N = 7K = 4Then 7/4 = 1.75 and the answer to the question is NOFact 2 is INSUFFICIENT

Combined, we know...N is divisible by 8K is divisible by 4

IF....N = 8K = 4Then 8/4 = 2 and the answer to the question is YES

IF....N = 8K = 88/8 = 1 and the answer to the question is NOCombined, INSUFFICIENT